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The injective hull op an operator ideal on locally convex spaces (1982)

Franco, L. ; Piñeiro, C.

Springer

Manuscripta mathematica 38 (1982), S. 333-341

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ISSN: 1432-1785

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In his book (3), Pietsch presents the problem of a direct construction of the injective hull of an operator ideal on loca. lly convex spaces. We construct the infective hull of an arbitrary operator ideal on locally convex spaces using the functor , where and B cover the family of all equicontinuous subsets of E'(L is the category of all locally convex spaces). If the operator ideal is bounded, we ob tain its infective hull using seminorm ideals.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01170930

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